where \(T\)  is the temperature parameter. There exists a simple relation between the network outputs after the softmax layer and the Gibbs distribution of class specific energy values [1]}. This can be formulated as,
\(p(l | \mathbf {f}) = \frac{ \exp (\frac{g_{l}(\mathbf {f})}{T}) }{\sum _{i=1}^{\textrm {C}}\exp (\frac{g_{i}(\mathbf {f})}{T})} =\frac{ \exp (-\frac{E(\mathbf {f}, l)}{T})}{ \exp (- \frac{E(\mathbf {f})}{T})}\) 
